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Determination of Km3 Decay Form Factor Using Normal Polarization Component (PN)

Explore the form factor determination of Km3 decay using the normal polarization component (PN). This study investigates the decay process, form factor expansion, and branching ratios to understand the polarization results from the Dalitz plot analysis.

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Determination of Km3 Decay Form Factor Using Normal Polarization Component (PN)

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  1. Normal polarization component (PN) of the Km3 decay for the form factor determination Dang Nguyen Phuong Department of Nuclear Physics, HCMUNS The E06 meeting, Sep 1-2, 2007

  2. Form factor of Km3 Km3 matrix element: M ~ f+(q2) (pKl + ppl) + f–(q2) (pKl– ppl) ~ f+(q2) [ 2pKl . ūngl (1 – g5) vm+ (x(q2) – 1)mmūn(1 – g5)vm q = pK - pp x(q2) = f–(q2) / f+(q2) Linear expansion: f±(q2) = f±(0) [1 + l± (q2/mp2)] Quadratic expansion: f±(q2) = f±(0) [1 + l± (q2/mp2) + ½ l± (q4/mp4) ]

  3. Form factor determination from Km3 decay K+→p0 m+ n Dalitz plot:

  4. Form factor determination from Km3 decay K+→p0 m+ n Branching ratio: Km3 polarization:

  5. Results of  Dalitz plot: - 0.116 ± 0.030 (YUSHCHENKO) - 0.27 ± 0.25 (WHITMAN) - 0.57 ± 0.24 (MERLAN) Branching ratio: - 0.13 ± 0.006 (KL3FIT) Km3 polarization: • 0.95 ± 0.03 (CUTTS) • - 1.0 ± 0.03 (BETTELS)

  6. PN n m+ K+ p0 Normal polarization component (PN)  e+   bar K+ 

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